Supravat Sarkar

About

Hi! I'm a fourth year PhD student in the Mathematics department at Princeton University, where I'm fortunate to be advised by János Kollár and Jakub Witaszek.

Research Interests

I am interested in several topics in algebraic geometry. Some of my particular interests are: birational geometry, study of contractions of special kind of varieties, classical algebraic geometry, vector bundles and projective bundles, automorphisms and endomorphisms of varieties, singularity theory, punctual Hilbert scheme, topology of varieties. I am also very interested in complex geometry and topology.

Preprints and Publications

1. Descend of morphisms of varieties
   Supravat Sarkar
   Preprint — Oct 13, 2025
2. Automorphisms of punctual Hilbert schemes and symmetric powers of varieties
   Ashima Bansal, Supravat Sarkar, Shivam Vats
   Preprint — Aug 2025
3. Isomorphisms and automorphisms of multiprojective bundles and symmetric powers of projective bundles
   Ashima Bansal, Supravat Sarkar, Shivam Vats
   Preprint — Aug 2025
4. Symmetric power of higher dimensional varieties
   Ashima Bansal, Supravat Sarkar, Shivam Vats
   Preprint — Aug 2025
5. Frobenius liftable hypersurfaces
   Tatsuro Kawakami, Supravat Sarkar, Jakub Witaszek
   Preprint — Jul 2025
6. Images of toric variety and amplified endomorphism of weak Fano threefolds
   Supravat Sarkar
   Preprint — Jun 2025
7. Singularity of Q-divisors of multidegree one in multiprojective space
   Supravat Sarkar
   Accepted for publication in the journal “Michigan Mathematical Journal”
8. Smooth blow up structures on projective bundles
   Supravat Sarkar
   Accepted to be published in Annali della Scuola Normale Superiore di Pisa
9. Varieties with two smooth blow up structures
   Supravat Sarkar
   Preprint — Sep 2024
10. Extremal Contraction of Projective Bundles
    Ashima Bansal, Supravat Sarkar, Shivam Vats
    Preprint — Sep 2024
11. Isomorphism of Multiprojective Bundles and Projective Towers
    Ashima Bansal, Supravat Sarkar, Shivam Vats
    Accepted to be published in Kyoto Journal of Mathematics
12. Average order in wreath products
    Supravat Sarkar
    Published in “International Journal of Group Theory”
13. A Combinatorial Proof of a generalization of a Theorem of Frobenius
    Supravat Sarkar
    Published in the journal “The Mathematics Student”, Indian Mathematical Society
14. The Weingarten map and curvatures of SL(n, R)
    Supravat Sarkar
    Published in the journal “Mathematics Newsletter”, Ramanujan Mathematical Society, September 2020

Teaching

I have been a Teaching Assistant for the following courses at Princeton:

MAT 345: Algebra I (Fall 2025)

MAT 202: Linear Algebra with Applications (Spring 2025)

MAT 345: Algebra I (Fall 2024)

MAT 330: Complex Analysis with Applications (Spring 2024)

Algebraic Curves (Algebraic Curves, William Fulton), Fall 2025

Riemann Surfaces (Algebraic Curves and Riemann Surfaces, Rick Miranda), Spring 2025

Contact Information